During a meeting with top leaders here, Yadav suggested that the other disgruntled political parties be included in a consensus before finalising the Constitution.
The president's call comes at a time when some Madhesi parties have boycotted the Constitution-drafting process demanding naming and delineation of the federal provinces before preparing the draft constitution.
Yadav, however, congratulated and thanked the four major political parties for signing the 16-point pact that paves the way for drafting the new Constitution by forging consensus on key issues.
The president also enquired about how the demands of the Madhes-based parties relating to the citizenship issues could be addressed in the draft constitution.
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During the meeting top leaders of the four major parties assured the president that the new Constitution will be promulgated on time with maximum consensus, Gachchhadar said.
The leaders assured the President that they would move ahead by properly addressing the issues raised by disgruntled parties and feedbacks of people regarding the new Constitution.
Present on the occasion were Prime Minister and Nepali Congress chief Sushil Koirala, CPN-UML Chairman K P Sharma Oli, UCPN-Maoist Chairman Pushpa Kamal Dahal 'Prachanda' and Gachchhadar.